a.
To Calculate the equation of Original and geo stationary orbits.
The original orbit
The geostationary orbit
Given:
Original circular orbit
geo stationary orbit
Calculation:
The original orbit is a
The geostationary orbit is a circle centered at Earth's origin and has radius
Conclusion:
The original orbit
The geostationary orbit
b.
To Find the values of
Value
Value
Given:
Original circular orbit
geo stationary orbit
Calculation:
The distance between the point
The distance between
substitute
and
Dividing by
Get
Substituting this into the above equation,
Conclusion:
Value
Value
c.
Equation module of transfer orbit.
Equation module of transfer orbit
Given:
Original circular orbit
geo stationary orbit
Calculation:
The distance between the point
so
The distance between
substitute
and
Dividing by
Get
Substituting this into the above equation,
Substituting these values into the formula
The following equation for
Since it must be
Also, must calculate the center of the ellipse. It's the midpoint of the major axis, which has endpoints
Now the equation is
Conclusion:
Equation module of transfer orbit
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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